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An inequality, in need of help.

  1. Feb 6, 2006 #1
    i need to prove that if x>y>0 and n>1 n natural then:

    i tried almost everything from n(x^n-y^n)/x-y>(x^n-y^n)/x-y>1

    but to get nothing, can someone help?
  2. jcsd
  3. Feb 6, 2006 #2


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    You know, do you not, that xn- yn= (x- y)(xn-1+ xn-2y+ ...+ xyn-2+ yn-1)?
    Last edited: Feb 6, 2006
  4. Feb 6, 2006 #3
    well thanks.
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